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Finding the Fourth Proportional to 9,613.20, 14,419.80 and 5,725.20

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Solution

The fourth proportional to 9,613.20, 14,419.80 and 5,725.20 is: 8,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.20 : 14,419.80 = 5,725.20 : x
  2. Step 2: Convert to fraction form
    9,613.20/14,419.80 = 5,725.20/x
  3. Step 3: Cross multiply
    9,613.20x = 14,419.80 × 5,725.20
  4. Step 4: Simplify right side
    9,613.20x = 82,556,238.96
  5. Step 5: Solve for x
    x = 82,556,238.96/9,613.20
  6. Step 6: Final answer
    x = 8,587.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.